4789628712000 has 896 divisors, whose sum is σ = 19788821544960. Its totient is φ = 1123649280000.

The previous prime is 4789628711951. The next prime is 4789628712041. The reversal of 4789628712000 is 2178269874.

It is a happy number.

4789628712000 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 628 + 7 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73623487 + ... + 73688513.

Almost surely, 2^{4789628712000} is an apocalyptic number.

4789628712000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4789628712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894410772480).

4789628712000 is an abundant number, since it is smaller than the sum of its proper divisors (14999192832960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4789628712000 is a wasteful number, since it uses less digits than its factorization.

4789628712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65105 (or 65079 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4789628712000 in words is "four trillion, seven hundred eighty-nine billion, six hundred twenty-eight million, seven hundred twelve thousand".